Mathematics Vision Project
Module 6: Connecting Algebra and Geometry
A geometry module connects algebraic reasoning to geometry. It challenges scholars to investigate the slope criteria for parallel and perpendicular lines, prove theorems involving coordinate geometry, and write equations for circles and...
EngageNY
Using Trigonometry to Find Side Lengths of an Acute Triangle
Not all triangles are right! Pupils learn to tackle non-right triangles using the Law of Sines and Law of Cosines. After using the two laws, they then apply them to word problems.
Curated OER
Word Problems Review Sheet
Word problems can make even expert mathematicians go blank. Practice solving word problems with an extended version of the GUESS method (givens, unknowns, equations, solve, substitute), which adds the steps of drawing a diagram, making...
Mathematics Assessment Project
Middle School Mathematics Test 6
A thorough math test divides the content into two 40-minutes sections, covering material through algebra and geometry. Problems incorporate analysis and applied problem solving.
CCSS Math Activities
Satellite
This isn't rocket science, you know. A performance task has learners use right triangle trigonometry to calculate distances from stations on Earth to a satellite. It also requires finding the distance between two stations along the...
Curated OER
The Shortest Distance
Students, working on their GED, examine the steps used to resolve the unknown sides of a right triangle. They express the square root function as an exponential function and derive the distance formula using principles of geometry.
Curated OER
Beyond the Blue Horizon...Advanced
In this calculating the horizon worksheet, students solve 6 problems using algebra, derivatives and calculus to find the formula for the line-of-sight horizon, the distance along a planet, the horizon distance and the rates of change for...
Curated OER
Proving Pythagoras
Students prove the theorem of Pythagoras. In this Pythagorean Theorem lesson, students define the different parts of a right triangle. They use the Pythagorean Theorem to solve for the missing sides and angles of a right triangle.
Curated OER
Distance Formula
Young scholars calculate the distance between two points using the distance formula. In this geometry lesson, students derive the distance formula using the Pythagorean Theorem.
Curated OER
New York State Testing Program Practice
In this standardized test preparation worksheet, 8th graders solve several varying problems. This twelve page test preparation worksheet asks students to show their work and explain how they arrived at their answers.
Curated OER
Area Measures and Right Triangles
Your class will investigate the relationship among different triangles. This geometry instructional activity, demonstrates how to make a connection between triangles and the Pythagorean Theorem. They identify the missing side or angle of...
Curated OER
Pythagorean Theorem
Students identify a right angle and right triangle. They perform WebQuests searching for similar figures and solve for the length of one of the sides given the other two.
Curated OER
NON-EUCLIDEAN GEOMETRY.
Students study relationships between angles, side lengths, perimeters, areas and volumes of similar objects. In this lesson students also create and critique inductive and deductive arguments concerning congruency, similarity and the...
Curated OER
Areeas of Parallelograms and Triangles
Twelfth graders are able to deduce the area of polygons by using several methods such as coordinate method. They are able to apply the area of polygons to real life situations. Students apply the Pythagorean Theorem in problem solving...
Curated OER
Surface Area and Volume
Accompanying the lesson at www.shodor.org, this learning exercise present students with a series of questions about the volume and surface area of a rectangular prism and a triangular prism. Students predict how these values would change...
Curated OER
Area, Perimeter and Volume
In this area, perimeter and volume learning exercise, students solve and complete 12 various types of problems. First, they calculate the value for each variable in the triangle shown. Then, students find the distance of the ladder...
Curated OER
The Laws of Sines and Cosines Made Simple!
Students study the law of sine and cosine. In this pre-calculus lesson, students create a triangle and identify the different ratios of a non-right triangle. They use the properties of sine and cosine to solve.
Curated OER
Proportions
In this proportion worksheet, students compare two proportionate shapes and find the length of the "x" side. There are four pairs of shapes. Shapes include triangle, rectangle, parallelogram and a trapezoid.
Curated OER
Task: Miniature Golf
"Fore!" All right, no one really yells this out in miniature golf, but this well-defined activity will have your charges using lots of numbers in their unique design of a miniature golf hole. Included in the activity criteria is the...
Curated OER
Length of an Arc
Twelfth graders define an arc and find its length. In this calculus lesson, 12th graders roll out a circle and measure its length using the same method of a triangle and its hypotenuse. They apply the Pythagorean Theorem to some...
Curated OER
Area of Triangles
In this geometry worksheet, 10th graders calculate the area of right triangles using the Pythagorean Theorem combined with the area formula. There are 14 questions with an answer key.
Curated OER
Geometry Exploration Basic Trig Functions
Tenth graders solve for missing sides on a triangle using the Pythagorean Theorem. In this geometry lesson, 10th graders are introduced to basic trigonometry functions as they solve problems of right triangles. They discuss the...
Curated OER
Hunter Fred's Quest for Dinner
Learners solve problems using trigonometric functions, specifically a problem about a tree stand. Pupils try to maximize the distance of hunting sight given certain restrictions. They use the Pythagorean Theorem, sine, cosine, and...
Curated OER
Math Challenge
Students challenge their math knowledge through a series of lessons designed to engage critical thinking and reasoning skills. In these problem solving lessons, students work with the Pythagorean Theorem, time zones in different regions...